United have been keen to add another attacking midfield option as cover for Spanish star no 10 Samu Saiz and Brown flew in to Leeds Bradford Airport on Thursday morning.
The deal has been in the pipeline for a few weeks with Brown now back in training having suffered a serious knee injury whilst on loan at Brighton back in January, during a 2-1 success at home to Crystal Palace.
Leeds are optimistic of sealing the 21-year-old's signature at some point on Thursday though it is anticipated that the England under-20s player will take a bit of time getting up to speed after his injury.
But Leeds hope Peterborough-born Brown will eventually provide strong cover and even competition for Saiz with Whites head coach Marcelo Bielsa keen on having two options in every position.
Brown is already a Championship promotion winner having helped Huddersfield Town to the Premier League through the play-offs whilst on loan at the Terriers from Chelsea during the second half of the 2016-17 campaign.
The attacking midfielder then joined Brighton on a season-long loan last July, bagging 15 appearances in all competitions including 13 in the Premier League.
Brown started his youth career at Leicester City before switching to West Brom for whom he made one appearance before signing for Chelsea in July 2013.
The midfielder has made one appearance for Chelsea and has also had loan spells at Vitesse Arnhem in Holland and Rotherham United.
Leeds are also continuing to offload players not involved with Dutch defender/midfielder Vurnon Anita poised to leave the Whites on a season long loan before Friday's 5pm deadline.
Anita is thought to be keen on returning to the Netherlands with the Dutch media reporting that the 29-year-old will join Eredivisie side Willem II.
United are also listening to offers for Republic Of Ireland international midfielder Eunan O'Kane who could also leave before Friday's cut off point.